Geodesic
Numerical identification of a coefficient in a parabolic quasilinear equation
Applications of Mathematics, Tome 30 (1985) no. 2, pp. 110-125.

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In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise a given integral functional. In addition to the design and analysis of a numerical method the paper contains the solution of the fundamental problems connected with the formulation of the problem in question (existence and uniqueness of the solution of the boundary-value problem, existence of the solution of the optimal control problem).
DOI : 10.21136/AM.1985.104132
Classification : 35K20, 35R30, 49D07, 49J20, 65K10, 65Z05, 93B30
Mots-clés : quasilinear parabolic equation; identification; gas chromatography; optimal control; numerical example 
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     author = {Neumann, Jan},
     title = {Numerical identification of a coefficient in a parabolic quasilinear equation},
     journal = {Applications of Mathematics},
     pages = {110--125},
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     zbl = {0574.65136},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104132/}
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Neumann, Jan. Numerical identification of a coefficient in a parabolic quasilinear equation. Applications of Mathematics, Tome 30 (1985) no. 2, pp. 110-125. doi : 10.21136/AM.1985.104132. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104132/

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